1 Semester Final Exam Review Systems of Equations

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means there is no solution to the system, as the lines never intersect.

Front

What does it mean if two lines are identical in a system of equations?

Back

It means there are infinite solutions, as every point on the line is a solution.

Front

How do you solve a system of equations using elimination?

Back

You manipulate the equations to eliminate one variable, allowing you to solve for the other.

Front

What is the graphical representation of a system of inequalities?

Back

It is represented by shaded regions on a graph, indicating the solution set.

Front

Back

The solution is the region where both inequalities overlap on the graph.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables.

Front

What is the y-intercept in a linear equation?

Back

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel, they will never intersect, indicating no solution.

Front

What is the method of substitution in solving systems of equations?

Back

It involves solving one equation for one variable and substituting that expression into the other equation.